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One hundred identical mortgages are pooled together into a pass-through security. Each mortgage has a $150,000 principal, a fixed annual interest rate of 8 percent

One hundred identical mortgages are pooled together into a pass-through security. Each mortgage has a $150,000 principal, a fixed annual interest rate of 8 percent (paid monthly), and is fully amortized over a term of 30 years. What is the present value of the mortgage pass-through if the entire pool is repaid after two months and there is no change in interest rates? Show work.

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